Q. 74.2( 45 Votes )

If two positive integers p and q can be expressed as p = ab2 and q = a3 b; where a, b being prime numbers, them LCM (p, q) is equal to
A. ab

B. a2b2

C. a3b2

D. a3b3

Answer :

Let p = ab2 = a × b × b


And q = a3b = a × a × a × b


LCM of p and q = LCM (ab2, a3b) = a × b × b × a × a = a3b2


[Since, LCM is the product of the greatest power of each prime factor involved in the number]

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